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Finding the Fourth Proportional to 32,281.34, 48,403.24 and 12,536.78

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Solution

The fourth proportional to 32,281.34, 48,403.24 and 12,536.78 is: 18,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.34 : 48,403.24 = 12,536.78 : x
  2. Step 2: Convert to fraction form
    32,281.34/48,403.24 = 12,536.78/x
  3. Step 3: Cross multiply
    32,281.34x = 48,403.24 × 12,536.78
  4. Step 4: Simplify right side
    32,281.34x = 606,820,771.17
  5. Step 5: Solve for x
    x = 606,820,771.17/32,281.34
  6. Step 6: Final answer
    x = 18,797.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.